plumiNumerical solution of differential equations: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 6.2 Numerical solution of differential equations, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 8 questions on Numerical solution of differential equations, as a list
- June 2025, AS Further Pure 1, Q2 (7 marks): Water is leaking from a hole in the base of a large spherical tank. The depth of water, H metres, in the tank is modelled by the differential equation 3 (5H – H
- June 2023, AS Further Pure 1, Q4 (6 marks): A teacher made a cup of coffee. The temperature θ °C of the coffee, t minutes after it was made, is modelled by the differential equation d 0.05( 20) 0 d θ θ t
- June 2022, Further Pure 1, Q4 (6 marks): The velocity v ms–1, of a raindrop, t seconds after it falls from a cloud, is modelled by the differential equation d d v t = –0.1 v 2 + 10 t 0 Initially the
- June 2022, AS Further Pure 1, Q2 (7 marks): A population of deer was introduced onto an island. The number of deer, P, on the island at time t years following their introduction is modelled by the differe
- November 2021, Further Pure 1, Q8 (17 marks): A community is concerned about the rising level of pollutant in its local pond and applies a chemical treatment to stop the increase of pollutant. The concentra
- November 2020, AS Further Pure 1, Q1 (7 marks): The variables x and y satisfy the differential equation d d 2 2 y x = 2y 2 – x – 1 where d d y x = 3 and y = 0 at x = 0 Use the approximations d d 2 2 2 1 1 2 y
- June 2019, AS Further Pure 1, Q3 (7 marks): Julie decides to start a business breeding rabbits to sell as pets. Initially she buys 20 rabbits. After Wyears the number of rabbits, R, is modelled by the di
- June 2018, AS Further Pure 1, Q2 (7 marks): The temperature, θ °C, of coffee in a cup, t minutes after the cup of coffee is put in a room, is modelled by the differential equation d d θ t = −k(θ − 20) whe
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